137281909 has 2 divisors, whose sum is σ = 137281910. Its totient is φ = 137281908.

The previous prime is 137281889. The next prime is 137281913. The reversal of 137281909 is 909182731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111302500 + 25979409 = 10550^2 + 5097^2 .

It is a cyclic number.

It is not a de Polignac number, because 137281909 - 2¹¹ = 137279861 is a prime.

It is a super-3 number, since 3×137281909³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137281999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68640954 + 68640955.

It is an arithmetic number, because the mean of its divisors is an integer number (68640955).

Almost surely, 2^137281909 is an apocalyptic number.

It is an amenable number.

137281909 is a deficient number, since it is larger than the sum of its proper divisors (1).

137281909 is an equidigital number, since it uses as much as digits as its factorization.

137281909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 137281909 is about 11716.7362776500. The cubic root of 137281909 is about 515.8670272607.

The spelling of 137281909 in words is "one hundred thirty-seven million, two hundred eighty-one thousand, nine hundred nine".